Question: A new elevator in a large hotel is designed to carry about 30 people, with a total weight of up to 5000 ibs. More than 5000ibs. Overloads the elevator. The average weight of guest, at this hotel is 150 ibs, with an SD of 55 iibs. Supposes 30 of the hotel's guests get into the elevator. Assuming the weights of these guests are independent random variables, what is the chance of overloading the elevator? Give your approximate answer as a decimal.